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New Treatment of Fluid Mechanics with Heat and Mass Transfer: Theory of Diffusion |
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PP: 1-6 |
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Author(s) |
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S. A. Mohammadein,
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Abstract |
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| The analytical solutions of nonlinear Partial differential equations in fluid mechanics are considered as a strong obstacle up to date. In this paper, the nonlinear Navier-Stokes, Burger, and Korteweg-deVries equations are converted to a one linear diffusion equation based on the proposed linear velocity operator concept for the first time. The velocity operator is formulated in terms of a generalized new physical parameter (Mohammadein Parameter M*); which has a different physical meaning in fluid mechanics and heat mass transfer. The momentum and energy quantitative equations have been generalized in the form of one linear diffusion equation under different influences. Moreover, the present theory introduced a new point of views for a simplification of formulation and analytical solutions of many problems in the fields of physics, engineering, and biomedical sciences.
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